弹性力学广义平面应力的精化理论  

REFINED THEORY OF GENERALIZED PLANE-STRESS PROLEMS IN ELASTICITY

作　　者：罗长虹[1] 王炜[1] 

机构地区：[1]北京大学力学与工程科学系,北京100871

出　　处：《固体力学学报》2003年第2期192-196,共5页Chinese Journal of Solid Mechanics

基　　金：教育部博士点基金(2000000112);国家自然科学基金(10172003)

摘　　要：从Papkovich-Neuber通解出发,导出了弹性力学广义平面应力问题的精化理论控制方程。若取零阶近似表示,方程即为通常弹性力学平面应力问题的平衡方程。对略去h^2及以上高阶项的八阶方程给出了通解。The governing differential functions of refined theory of generalized plane-stress prob- lems in elasticity is defived from the Papkovich-Neuber solution. If a zero-order approximation is tak- en, the equations obtained will become the conventional elastic balance equations of plane-stress situ- ation. A generalized solution is obtained from the eighth-order equations when terms higher than h^2 are neglected.

关 键 词：弹性力学 广义平面应力 精化理论 通解 平衡方程 控制方程 

分 类 号：O343[理学—固体力学]